To determine the surface area of a cylindrical hat box, we need to calculate the surface area of the cylinder and the two circular ends (top and bottom). The formula for the surface area of a cylinder is given by:
\[ \text{Surface Area} = 2\pi rh + 2\pi r^2 \]
where \( r \) is the radius, and \( h \) is the height of the cylinder.
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Calculate lateral surface area (the side of the cylinder):
- \( \text{Lateral Surface Area} = 2\pi rh \)
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Calculate area of the top and bottom circles:
- \( \text{Area of circles} = 2\pi r^2 \)
Assuming we have the radius \( r \) and height \( h \), you can plug those values into the formula.
Since the specific values for the radius and height are not given in your question, I cannot compute the total surface area directly.
However, if you are provided with the net of the hat box or specific dimensions for the radius and height, please share those values, and I can help compute the surface area accordingly.
Once you have the surface area calculated, you can compare it to the response options (2,512 cm², 628 cm², 1,884 cm², 896 cm²) to find the right answer. If you provide the necessary dimensions, I can assist further!